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Finding the Fourth Proportional to 314.88, 435.01 and 268.73

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Solution

The fourth proportional to 314.88, 435.01 and 268.73 is: 371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 435.01 = 268.73 : x
  2. Step 2: Convert to fraction form
    314.88/435.01 = 268.73/x
  3. Step 3: Cross multiply
    314.88x = 435.01 × 268.73
  4. Step 4: Simplify right side
    314.88x = 116,900.24
  5. Step 5: Solve for x
    x = 116,900.24/314.88
  6. Step 6: Final answer
    x = 371.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.